Edit Profile Tate, John Torrence jun. Compute Distance To: Compute Author ID: tate.john-torrence Published as: Tate, J.; Tate, J. T.; Tate, John; Tate, John T.; Tate, John Torrence Homepage: http://www.ma.utexas.edu/text/webpages/tate.html External Links: MGP · Math-Net.Ru · Wikidata · dblp · GND · MacTutor Awards: Wolf Prize (2003) · Abel Prize (2010) Member of Collective: Bourbaki, Nicolas Documents Indexed: 100 Publications since 1951, including 15 Books Biographic References: 15 Publications all top 5 Co-Authors 53 single-authored 9 Artin, Michael 7 Mazur, Barry 4 Artin, Emil 3 Mumford, David Bryant 3 Serre, Jean-Pierre 3 Van den Bergh, Michel 2 Atiyah, Michael Francis 2 Bass, Hyman 2 Cartier, Pierre 2 Ferrer Santos, Walter Ricardo 2 Jackson, Allyn 2 Katz, Nicholas Michael 2 Lang, Serge 2 Lubin, Jonathan D. 2 Moskowitz, Martin A. 2 Oort, Frans 2 Schelter, William F. 2 Silverman, Joseph Hillel 1 Bateman, Paul Trevier 1 Bergman, George M. 1 Brauer, Richard 1 Deligne, Pierre René 1 Demazure, Michel 1 Fröhlich, Albrecht 1 Gerstenhaber, Murray 1 Goldfeld, Dorian Morris 1 Gowers, William Timothy 1 Greenberg, Marvin Jay 1 Hartshorne, Robin 1 Illusie, Luc 1 Jones, Peter Wilcox 1 Jordan, Bruce W. 1 Jorgenson, Jay Alan 1 Kawada, Yukiyosi 1 Keeton, Allan G. 1 Kleiman, Steven Lawrence 1 Kostant, Bertram 1 Ladegaillerie, Yves 1 Lichtenbaum, Stephen 1 Lochak, Pierre 1 Magid, Andy Roy 1 Mattuck, Arthur 1 Messing, William 1 Moore, Calvin C. 1 Mostow, George Daniel 1 Murre, Jacob P. 1 Nahlus, Nazih 1 Poonen, Bjorn 1 Rains, Eric M. 1 Ramakrishnan, Dinakar 1 Ribet, Kenneth Alan 1 Rodriguez-Villegas, Fernando 1 Rosset, Shmuel 1 Schneps, Leila 1 Schwartz, James M. 1 Sen, Shankar 1 Shafarevich, Igor’ Rostislavovich 1 Shepherd-Barron, Nicholas Ian 1 Smith, S. Paul 1 Stein, William A. 1 Teitelbaum, Jeremy T. 1 Tisseyre, François 1 Voloch, José Felipe all top 5 Serials 8 Inventiones Mathematicae 4 Notices of the American Mathematical Society 4 Annals of Mathematics. Second Series 3 American Journal of Mathematics 3 Progress in Mathematics 2 Communications on Pure and Applied Mathematics 2 Annales Scientifiques de l’École Normale Supérieure. Quatrième Série 2 Duke Mathematical Journal 2 Journal für die Reine und Angewandte Mathematik 2 Proceedings of the American Mathematical Society 2 Science 2 Undergraduate Texts in Mathematics 2 Springer VideoMATH 1 Uspekhi Matematicheskikh Nauk [N. S.] 1 Abhandlungen aus dem Mathematischen Seminar der Universität Hamburg 1 Advances in Mathematics 1 Bulletin de la Société Mathématique de France 1 Commentarii Mathematici Helvetici 1 Compositio Mathematica 1 Illinois Journal of Mathematics 1 Journal of the Faculty of Science. Section I A 1 The Journal of the Indian Mathematical Society. New Series 1 Journal of the Mathematical Society of Japan 1 Nagoya Mathematical Journal 1 Soviet Mathematics. Doklady 1 Topology 1 \(K\)-Theory 1 IMRN. International Mathematics Research Notices 1 L’Enseignement Mathématique. 2e Série 1 Bulletin of the American Mathematical Society. New Series 1 Izvestiya: Mathematics 1 Documenta Mathematica 1 Bulletin of the Brazilian Mathematical Society. New Series 1 Colloques Internationaux du Centre National de la Recherche Scientifique all top 5 Fields 44 Number theory (11-XX) 42 Algebraic geometry (14-XX) 15 History and biography (01-XX) 7 Field theory and polynomials (12-XX) 7 Associative rings and algebras (16-XX) 5 General and overarching topics; collections (00-XX) 4 Commutative algebra (13-XX) 4 Nonassociative rings and algebras (17-XX) 3 \(K\)-theory (19-XX) 1 Category theory; homological algebra (18-XX) 1 Group theory and generalizations (20-XX) 1 Functions of a complex variable (30-XX) 1 Several complex variables and analytic spaces (32-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH 82 Publications have been cited 3,890 times in 3,140 Documents Cited by ▼ Year ▼ Good reduction of abelian varieties. Zbl 0172.46101Serre, Jean-Pierre; Tate, J. 298 1968 Endomorphisms of Abelian varieties over finite fields. Zbl 0147.20303Tate, J. 236 1966 Algorithm for determining the type of a singular fiber in an elliptic pencil. Zbl 1214.14020Tate, J. 198 1975 Relations between \(K_2\) and Galois cohomology. Zbl 0359.12011Tate, John 188 1976 Some algebras associated to automorphisms of elliptic curves. Zbl 0744.14024Artin, M.; Tate, J.; Van den Bergh, M. 179 1990 On \(p\)-adic analogues of the conjectures of Birch and Swinnerton-Dyer. Zbl 0699.14028Mazur, B.; Tate, J.; Teitelbaum, J. 149 1986 Modules over regular algebras of dimension 3. Zbl 0763.14001Artin, M.; Tate, J.; Van den Bergh, M. 145 1991 Homology of Noetherian rings and local rings. Zbl 0079.05501Tate, John 145 1957 Class field theory. Reprint of the 1990 2nd ed. Zbl 1179.11040Artin, Emil; Tate, John 118 2009 Number theoretic background. Zbl 0422.12007Tate, J. 118 1979 Group schemes of prime order. Zbl 0195.50801Tate, John; Oort, Frans 110 1970 Rational points on elliptic curves. Zbl 0752.14034Silverman, Joseph H.; Tate, John 108 1992 \(p\)-divisible groups. Zbl 0157.27601Tate, J. T. 103 1967 The arithmetic of elliptic curves. Zbl 0296.14018Tate, John T. 100 1974 Formal complex multiplication in local fields. Zbl 0128.26501Lubin, Jonathan; Tate, John 99 1965 Rigid analytic spaces. Zbl 0212.25601Tate, J. 96 1971 Class field theory. Zbl 0176.33504Artin, Emil; Tate, John 95 1968 Algebraic cycles and poles of zeta functions. Zbl 0213.22804Tate, John T. 95 1965 The Stark conjectures on Artin \(L\)-functions at \(s=0\). Lecture notes of a course in Orsay edited by Dominique Bernardi and Norbert Schappacher. Zbl 0545.12009Tate, John 94 1984 The Milnor ring of a global field. Zbl 0299.12013Bass, H.; Tate, J. 83 1973 Quantum deformations of \(\text{GL}_ n\). Zbl 0753.17015Artin, Michael; Schelter, William; Tate, John 78 1991 Nilpotent quotient groups. Zbl 0125.01503Tate, J. 64 1964 Principal homogeneous spaces over Abelian varieties. Zbl 0097.36203Lang, Serge; Tate, John 60 1958 Formal moduli for one-parameter formal Lie groups. Zbl 0156.04105Lubin, J.; Tate, J. 58 1966 On the conjectures of Birch and Swinnerton-Dyer and a geometric analog. Zbl 0199.55604Tate, John 53 1966 Homological properties of Sklyanin algebras. Zbl 0876.17010Tate, John; Van den Bergh, Michel 52 1996 Residues of differentials on curves. Zbl 0159.22702Tate, John 52 1968 Genus change in inseparable extensions of function fields. Zbl 0047.03901Tate, John 47 1952 Global class field theory. Zbl 1179.11041Tate, J. T. 46 1967 Duality theorems in Galois cohomology over number fields. Zbl 0126.07002Tate, J. 46 1963 Conjectures on algebraic cycles in \(\ell\)-adic cohomology. Zbl 0814.14009Tate, John 43 1994 The cohomology groups of tori in finite Galois extensions of number fields. Zbl 0146.06501Tate, J. 37 1966 Class field theory. 2nd ed. Zbl 0681.12003Artin, Emil; Tate, John 32 1990 Refined conjectures of the “Birch and Swinnerton-Dyer type”. Zbl 0636.14004Mazur, B.; Tate, J. 29 1987 Classes d’isogénie des variétés abéliennes sur un corps fini (d’après Z. Honda). Zbl 0212.25702Tate, John 29 1971 Canonical height pairings via biextensions. Zbl 0574.14036Mazur, B.; Tate, J. 27 1983 On the characters of finite groups. Zbl 0065.01401Brauer, Richard; Tate, John 24 1955 A note on finite ring extensions. Zbl 0043.26701Artin, Emil; Tate, John T. 23 1951 The non-existence of certain Galois extensions of \(\mathbb{Q}\) unramified outside 2. Zbl 0814.11057Tate, John 22 1994 Points of order 13 on elliptic curves. Zbl 0268.14009Mazur, B.; Tate, J. 22 1973 The \(p\)-adic sigma function. Zbl 0735.14020Mazur, B.; Tate, J. 18 1991 A reciprocity law for \(K_2\)-traces. Zbl 0514.18010Rosset, Shmuel; Tate, John 18 1983 The rank of elliptic curves. Zbl 0168.42201Tate, J. T.; Shafarevich, I. R. 17 1967 The higher dimensional cohomology groups of class field theory. Zbl 0047.03703Tate, John 17 1952 On the Jacobians of plane cubics. Zbl 1092.14054Artin, Michael; Rodriguez-Villegas, Fernando; Tate, John 16 2005 Variation of the canonical height of a point depending on a parameter. Zbl 0618.14019Tate, J. 16 1983 WC-groups over \(p\)-adic fields. Zbl 0091.33701Tate, J. 16 1958 The center of the \(3\)-dimensional and \(4\)-dimensional Sklyanin algebras. Zbl 0809.16053Smith, S. P.; Tate, J. 15 1994 Computation of \(p\)-adic heights and log convergence. Zbl 1135.11034Mazur, Barry; Stein, William; Tate, John 14 2007 Symbols in arithmetic. Zbl 0229.12013Tate, John 14 1971 Rational points on elliptic curves. 2nd ed. Zbl 1346.11001Silverman, Joseph H.; Tate, John T. 10 2015 A review of non-Archimedean elliptic functions. Zbl 1071.11508Tate, John 10 1995 On Stark’s conjectures on the behavior of \(L(s,\chi)\) at \(s=0\). Zbl 0514.12013Tate, John 9 1981 Rigid analytic spaces. Zbl 0208.48301Tate, J. 9 1962 Local constants. (Prepared in collaboration with C. J. Bushnell and M. J. Taylor.). Zbl 0425.12019Tate, J. T. 8 1977 Finite flat group schemes. Zbl 0924.14024Tate, John 7 1997 Brumer-Stark-Stickelberger. Zbl 0504.12005Tate, John 7 1981 On Chevalley’s proof of Lüroth’s theorem. Zbl 0047.03802Lang, Serge; Tate, John 7 1952 Refining Gross’s conjecture on the values of abelian \(L\)-functions. Zbl 1072.11087Tate, John 6 2004 Linear forms in \(\mathfrak p\)-adic roots of unity. Zbl 0893.11015Tate, John; Voloch, José Felipe 6 1996 Letter from Tate to Iwasawa on a relation between \(K_2\) and Galois cohomology. Zbl 0284.12004Tate, J. 6 1973 On the inequality of Castelnuovo-Severi. Zbl 0081.37604Mattuck, Arthur; Tate, John 6 1958 The centers of 3-dimensional Sklyanin algebras. Zbl 0823.17019Artin, Michael; Schelter, William; Tate, John 5 1994 Abelian varieties isogenous to a power of an elliptic curve. Zbl 1400.14116Jordan, Bruce W.; Keeton, Allan G.; Poonen, Bjorn; Rains, Eric M.; Shepherd-Barron, Nicholas; Tate, John T. 4 2018 Ramification groups of local fields. Zbl 0136.02702Sen, Shankar; Tate, John 4 1963 Classes d’isogénie des variétés abéliennes sur un corps fini. Zbl 0212.25703Tate, John 3 1970 Algebraic cohomology classes. Translated by Yu. I. Manin. Zbl 0213.22901Tate, John 3 1965 Galois cohomology. Zbl 1030.11060Tate, John 2 2001 Arithmetic and geometry. Papers dedicated to I. R. Shafarevich on the occasion of his sixtieth birthday. Vol. I: Arithmetic. Zbl 0518.00004Artin, Michael (ed.); Tate, John (ed.) 2 1983 On the Galois cohomology of unramified extensions of function fields in one variable. Zbl 0068.03402Kawada, Y.; Tate, J. 2 1955 Alexandre Grothendieck 1928–2014, part 2. Zbl 1338.01023Artin, Michael (ed.); Jackson, Allyn (ed.); Mumford, David (ed.); Tate, John (ed.); Ladegaillerie, Yves; Lichtenbaum, Stephen; Lochak, Pierre; Mazur, Barry; Messing, William; Murre, Jacob; Schneps, Leila 1 2016 Alexandre Grothendieck 1928–2014. I. Zbl 1338.01022Artin, Michael (ed.); Jackson, Allyn (ed.); Mumford, David (ed.); Tate, John (ed.); Atiyah, Michael; Bass, Hyman; Cartier, Pierre; Deligne, Pierre; Demazure, Michel; Greenberg, Marvin Jay; Hartshorne, Robin; Illusie, Luc; Katz, Nicholas; Kleiman, Steven L. 1 2016 Autobiography. Zbl 1317.01039Tate, John 1 2014 Stark’s basic conjecture. Zbl 1263.11101Tate, John 1 2011 Bernard Dwork (1923–1998). Zbl 1177.01050Katz, Nicholas M.; Tate, John 1 1999 Fields Medals. IV: An instinct for the key idea. Zbl 1225.01080Mumford, David; Tate, John 1 1978 On the torsion in \(K_2\) of fields. Zbl 0368.12008Tate, J. 1 1977 The work of David Mumford. Zbl 0333.01015Tate, J. 1 1975 Group schemes of prime order. Zbl 0225.14024Tate, John; Oort, Frans 1 1972 Good reduction of abelian varieties. Zbl 0217.05201Serre, Jean-Pierre; Tate, J. 1 1971 Principal homogeneous spaces for abelian varieties. Zbl 0116.38201Tate, J. 1 1962 On the relation between extremal points of convex sets and homomorphisms of algebras. Zbl 0043.11403Tate, John 1 1951 Abelian varieties isogenous to a power of an elliptic curve. Zbl 1400.14116Jordan, Bruce W.; Keeton, Allan G.; Poonen, Bjorn; Rains, Eric M.; Shepherd-Barron, Nicholas; Tate, John T. 4 2018 Alexandre Grothendieck 1928–2014, part 2. Zbl 1338.01023Artin, Michael (ed.); Jackson, Allyn (ed.); Mumford, David (ed.); Tate, John (ed.); Ladegaillerie, Yves; Lichtenbaum, Stephen; Lochak, Pierre; Mazur, Barry; Messing, William; Murre, Jacob; Schneps, Leila 1 2016 Alexandre Grothendieck 1928–2014. I. Zbl 1338.01022Artin, Michael (ed.); Jackson, Allyn (ed.); Mumford, David (ed.); Tate, John (ed.); Atiyah, Michael; Bass, Hyman; Cartier, Pierre; Deligne, Pierre; Demazure, Michel; Greenberg, Marvin Jay; Hartshorne, Robin; Illusie, Luc; Katz, Nicholas; Kleiman, Steven L. 1 2016 Rational points on elliptic curves. 2nd ed. Zbl 1346.11001Silverman, Joseph H.; Tate, John T. 10 2015 Autobiography. Zbl 1317.01039Tate, John 1 2014 Stark’s basic conjecture. Zbl 1263.11101Tate, John 1 2011 Class field theory. Reprint of the 1990 2nd ed. Zbl 1179.11040Artin, Emil; Tate, John 118 2009 Computation of \(p\)-adic heights and log convergence. Zbl 1135.11034Mazur, Barry; Stein, William; Tate, John 14 2007 On the Jacobians of plane cubics. Zbl 1092.14054Artin, Michael; Rodriguez-Villegas, Fernando; Tate, John 16 2005 Refining Gross’s conjecture on the values of abelian \(L\)-functions. Zbl 1072.11087Tate, John 6 2004 Galois cohomology. Zbl 1030.11060Tate, John 2 2001 Bernard Dwork (1923–1998). Zbl 1177.01050Katz, Nicholas M.; Tate, John 1 1999 Finite flat group schemes. Zbl 0924.14024Tate, John 7 1997 Homological properties of Sklyanin algebras. Zbl 0876.17010Tate, John; Van den Bergh, Michel 52 1996 Linear forms in \(\mathfrak p\)-adic roots of unity. Zbl 0893.11015Tate, John; Voloch, José Felipe 6 1996 A review of non-Archimedean elliptic functions. Zbl 1071.11508Tate, John 10 1995 Conjectures on algebraic cycles in \(\ell\)-adic cohomology. Zbl 0814.14009Tate, John 43 1994 The non-existence of certain Galois extensions of \(\mathbb{Q}\) unramified outside 2. Zbl 0814.11057Tate, John 22 1994 The center of the \(3\)-dimensional and \(4\)-dimensional Sklyanin algebras. Zbl 0809.16053Smith, S. P.; Tate, J. 15 1994 The centers of 3-dimensional Sklyanin algebras. Zbl 0823.17019Artin, Michael; Schelter, William; Tate, John 5 1994 Rational points on elliptic curves. Zbl 0752.14034Silverman, Joseph H.; Tate, John 108 1992 Modules over regular algebras of dimension 3. Zbl 0763.14001Artin, M.; Tate, J.; Van den Bergh, M. 145 1991 Quantum deformations of \(\text{GL}_ n\). Zbl 0753.17015Artin, Michael; Schelter, William; Tate, John 78 1991 The \(p\)-adic sigma function. Zbl 0735.14020Mazur, B.; Tate, J. 18 1991 Some algebras associated to automorphisms of elliptic curves. Zbl 0744.14024Artin, M.; Tate, J.; Van den Bergh, M. 179 1990 Class field theory. 2nd ed. Zbl 0681.12003Artin, Emil; Tate, John 32 1990 Refined conjectures of the “Birch and Swinnerton-Dyer type”. Zbl 0636.14004Mazur, B.; Tate, J. 29 1987 On \(p\)-adic analogues of the conjectures of Birch and Swinnerton-Dyer. Zbl 0699.14028Mazur, B.; Tate, J.; Teitelbaum, J. 149 1986 The Stark conjectures on Artin \(L\)-functions at \(s=0\). Lecture notes of a course in Orsay edited by Dominique Bernardi and Norbert Schappacher. Zbl 0545.12009Tate, John 94 1984 Canonical height pairings via biextensions. Zbl 0574.14036Mazur, B.; Tate, J. 27 1983 A reciprocity law for \(K_2\)-traces. Zbl 0514.18010Rosset, Shmuel; Tate, John 18 1983 Variation of the canonical height of a point depending on a parameter. Zbl 0618.14019Tate, J. 16 1983 Arithmetic and geometry. Papers dedicated to I. R. Shafarevich on the occasion of his sixtieth birthday. Vol. I: Arithmetic. Zbl 0518.00004Artin, Michael (ed.); Tate, John (ed.) 2 1983 On Stark’s conjectures on the behavior of \(L(s,\chi)\) at \(s=0\). Zbl 0514.12013Tate, John 9 1981 Brumer-Stark-Stickelberger. Zbl 0504.12005Tate, John 7 1981 Number theoretic background. Zbl 0422.12007Tate, J. 118 1979 Fields Medals. IV: An instinct for the key idea. Zbl 1225.01080Mumford, David; Tate, John 1 1978 Local constants. (Prepared in collaboration with C. J. Bushnell and M. J. Taylor.). Zbl 0425.12019Tate, J. T. 8 1977 On the torsion in \(K_2\) of fields. Zbl 0368.12008Tate, J. 1 1977 Relations between \(K_2\) and Galois cohomology. Zbl 0359.12011Tate, John 188 1976 Algorithm for determining the type of a singular fiber in an elliptic pencil. Zbl 1214.14020Tate, J. 198 1975 The work of David Mumford. Zbl 0333.01015Tate, J. 1 1975 The arithmetic of elliptic curves. Zbl 0296.14018Tate, John T. 100 1974 The Milnor ring of a global field. Zbl 0299.12013Bass, H.; Tate, J. 83 1973 Points of order 13 on elliptic curves. Zbl 0268.14009Mazur, B.; Tate, J. 22 1973 Letter from Tate to Iwasawa on a relation between \(K_2\) and Galois cohomology. Zbl 0284.12004Tate, J. 6 1973 Group schemes of prime order. Zbl 0225.14024Tate, John; Oort, Frans 1 1972 Rigid analytic spaces. Zbl 0212.25601Tate, J. 96 1971 Classes d’isogénie des variétés abéliennes sur un corps fini (d’après Z. Honda). Zbl 0212.25702Tate, John 29 1971 Symbols in arithmetic. Zbl 0229.12013Tate, John 14 1971 Good reduction of abelian varieties. Zbl 0217.05201Serre, Jean-Pierre; Tate, J. 1 1971 Group schemes of prime order. Zbl 0195.50801Tate, John; Oort, Frans 110 1970 Classes d’isogénie des variétés abéliennes sur un corps fini. Zbl 0212.25703Tate, John 3 1970 Good reduction of abelian varieties. Zbl 0172.46101Serre, Jean-Pierre; Tate, J. 298 1968 Class field theory. Zbl 0176.33504Artin, Emil; Tate, John 95 1968 Residues of differentials on curves. Zbl 0159.22702Tate, John 52 1968 \(p\)-divisible groups. Zbl 0157.27601Tate, J. T. 103 1967 Global class field theory. Zbl 1179.11041Tate, J. T. 46 1967 The rank of elliptic curves. Zbl 0168.42201Tate, J. T.; Shafarevich, I. R. 17 1967 Endomorphisms of Abelian varieties over finite fields. Zbl 0147.20303Tate, J. 236 1966 Formal moduli for one-parameter formal Lie groups. Zbl 0156.04105Lubin, J.; Tate, J. 58 1966 On the conjectures of Birch and Swinnerton-Dyer and a geometric analog. Zbl 0199.55604Tate, John 53 1966 The cohomology groups of tori in finite Galois extensions of number fields. Zbl 0146.06501Tate, J. 37 1966 Formal complex multiplication in local fields. Zbl 0128.26501Lubin, Jonathan; Tate, John 99 1965 Algebraic cycles and poles of zeta functions. Zbl 0213.22804Tate, John T. 95 1965 Algebraic cohomology classes. Translated by Yu. I. Manin. Zbl 0213.22901Tate, John 3 1965 Nilpotent quotient groups. Zbl 0125.01503Tate, J. 64 1964 Duality theorems in Galois cohomology over number fields. Zbl 0126.07002Tate, J. 46 1963 Ramification groups of local fields. Zbl 0136.02702Sen, Shankar; Tate, John 4 1963 Rigid analytic spaces. Zbl 0208.48301Tate, J. 9 1962 Principal homogeneous spaces for abelian varieties. Zbl 0116.38201Tate, J. 1 1962 Principal homogeneous spaces over Abelian varieties. Zbl 0097.36203Lang, Serge; Tate, John 60 1958 WC-groups over \(p\)-adic fields. Zbl 0091.33701Tate, J. 16 1958 On the inequality of Castelnuovo-Severi. Zbl 0081.37604Mattuck, Arthur; Tate, John 6 1958 Homology of Noetherian rings and local rings. Zbl 0079.05501Tate, John 145 1957 On the characters of finite groups. Zbl 0065.01401Brauer, Richard; Tate, John 24 1955 On the Galois cohomology of unramified extensions of function fields in one variable. Zbl 0068.03402Kawada, Y.; Tate, J. 2 1955 Genus change in inseparable extensions of function fields. Zbl 0047.03901Tate, John 47 1952 The higher dimensional cohomology groups of class field theory. Zbl 0047.03703Tate, John 17 1952 On Chevalley’s proof of Lüroth’s theorem. Zbl 0047.03802Lang, Serge; Tate, John 7 1952 A note on finite ring extensions. Zbl 0043.26701Artin, Emil; Tate, John T. 23 1951 On the relation between extremal points of convex sets and homomorphisms of algebras. Zbl 0043.11403Tate, John 1 1951 all cited Publications top 5 cited Publications all top 5 Cited by 2,522 Authors 26 Zarkhin, Yuriĭ Gennad’evich 24 Mazur, Barry 22 Zhang, James J. 21 Shioda, Tetsuji 21 Smith, S. Paul 18 Van den Bergh, Michel 17 Vancliff, Michaela 16 Rubin, Karl Cooper 15 Gross, Benedict Hyman 14 Pablos Romo, Fernando 13 Qin, Hourong 13 Tate, John Torrence jun. 12 Avramov, Luchezar L. 12 Banaszak, Grzegorz 12 Fein, Burton 12 Oort, Frans 12 Perrin-Riou, Bernadette 12 Schacher, Murray M. 12 Silverman, Joseph Hillel 11 Bosch, Siegfried 11 Stafford, J. Toby 11 Ulmer, Douglas L. 10 Darmon, Henri René 10 Kamienny, Sheldon 10 Mori, Izuru 10 Rogalski, Daniel 10 Schütt, Matthias 10 Virdol, Cristian 9 de Shalit, Ehud 9 Kato, Kazuya 9 Lütkebohmert, Werner 9 Milne, James Stuart 9 Morrison, David R. 9 Rump, Wolfgang 9 Silverberg, Alice 9 Tamagawa, Akio 8 Artin, Michael 8 Bertolini, Massimo 8 Gras, Georges 8 Jaulent, Jean-François 8 Kahn, Bruno 8 Kramer, Kenneth B. 8 Le Bruyn, Lieven 8 Liedtke, Christian 8 Lorenzini, Dino J. 8 Miao, Long 8 Nguyen Quang Do, Thong 8 Okniński, Jan 8 Opolka, Hans 8 Popescu, Cristian D. 8 Sands, Jonathan W. 8 Sierra, Susan J. 8 Tafazolian, Saeed 8 Top, Jaap 8 Yu, Chia-Fu 7 Chan, Daniel 7 Coates, John H. 7 Coleman, Robert Frederick 7 Greither, Cornelius 7 Hartl, Urs T. 7 Hida, Haruzo 7 Jespers, Eric 7 Kirkman, Ellen E. 7 Kolster, Manfred 7 Kraus, Alain 7 Li, Shirong 7 Mináč, Ján 7 Nickel, Andreas 7 Raynaud, Michel 7 Roblot, Xavier-François 7 Rohrlich, David E. 7 Stein, William A. 7 Stöhr, Karl-Otto 7 Torres, Fernando 7 Walton, Chelsea 7 Xu, Kejian 6 Assim, Jilali 6 Balakrishnan, Jennifer S. 6 Bloch, Spencer J. 6 Boxall, John L. 6 Brumer, Armand 6 Burns, David John 6 Cassidy, Thomas 6 Chirvăsitu, Alexandru 6 Choudhry, Ajai 6 Dokchitser, Vladimir 6 Fisher, Tom A. 6 Frey, Gerhard 6 Gateva-Ivanova, Tatiana 6 Herzog, Jürgen 6 Iyengar, Srikanth B. 6 Jones, John William 6 Katz, Nicholas Michael 6 Kurihara, Masato 6 Lei, Antonio 6 Li, Hua-Chieh 6 Longhi, Ignazio 6 Movahhedi, Abbas 6 Pollack, Robert 6 Rehmann, Ulf ...and 2,422 more Authors all top 5 Cited in 255 Serials 286 Journal of Number Theory 249 Journal of Algebra 177 Inventiones Mathematicae 132 Compositio Mathematica 128 Journal of Pure and Applied Algebra 115 Transactions of the American Mathematical Society 105 Mathematische Annalen 103 Duke Mathematical Journal 81 Communications in Algebra 81 Mathematische Zeitschrift 67 Journal de Théorie des Nombres de Bordeaux 60 Advances in Mathematics 60 Proceedings of the American Mathematical Society 59 Manuscripta Mathematica 55 Annales de l’Institut Fourier 47 Mathematics of Computation 41 Annales Scientifiques de l’École Normale Supérieure. Quatrième Série 37 Israel Journal of Mathematics 37 Journal of High Energy Physics 34 Archiv der Mathematik 33 Journal für die Reine und Angewandte Mathematik 32 Proceedings of the Japan Academy. Series A 32 International Journal of Number Theory 29 Bulletin of the American Mathematical Society. New Series 24 Tohoku Mathematical Journal. Second Series 24 Annals of Mathematics. Second Series 22 Rocky Mountain Journal of Mathematics 21 Nagoya Mathematical Journal 18 Bulletin de la Société Mathématique de France 18 \(K\)-Theory 18 Journal of the American Mathematical Society 18 Finite Fields and their Applications 18 Comptes Rendus. Mathématique. Académie des Sciences, Paris 17 Algebras and Representation Theory 17 Bulletin of the American Mathematical Society 16 Publications Mathématiques 16 Journal of Mathematical Sciences (New York) 15 Communications in Mathematical Physics 15 Documenta Mathematica 14 Journal of Soviet Mathematics 13 Mathematical Proceedings of the Cambridge Philosophical Society 13 Acta Arithmetica 13 Functiones et Approximatio. Commentarii Mathematici 13 Glasgow Mathematical Journal 13 Journal of Algebraic Geometry 13 Research in Number Theory 12 Mathematical Notes 12 Experimental Mathematics 12 Annales Mathématiques du Québec 11 Algebra & Number Theory 10 Acta Mathematica Sinica. English Series 10 Bulletin de la Société Mathématique de France. Supplément. Mémoires 9 Bulletin of the Australian Mathematical Society 9 Nuclear Physics. B 9 Abhandlungen aus dem Mathematischen Seminar der Universität Hamburg 9 Memoirs of the American Mathematical Society 9 Rendiconti del Seminario Matematico della Università di Padova 9 The Ramanujan Journal 9 Journal of Noncommutative Geometry 8 Journal of Geometry and Physics 8 Mathematische Nachrichten 8 Proceedings of the London Mathematical Society. Third Series 8 Tokyo Journal of Mathematics 8 Journal of Symbolic Computation 8 Selecta Mathematica. New Series 8 LMS Journal of Computation and Mathematics 8 Central European Journal of Mathematics 8 Journal of the Institute of Mathematics of Jussieu 8 Journal of Algebra and its Applications 8 Journal of Homotopy and Related Structures 8 Journal of \(K\)-Theory 8 European Journal of Mathematics 7 Michigan Mathematical Journal 7 Science in China. Series A 7 Linear Algebra and its Applications 7 Journal of the European Mathematical Society (JEMS) 7 Proceedings of the Steklov Institute of Mathematics 7 Science China. Mathematics 6 Bulletin of the London Mathematical Society 6 Pacific Journal of Mathematics 6 Topology and its Applications 6 Forum Mathematicum 6 Proceedings of the Japan Academy 6 Kyoto Journal of Mathematics 5 Annali di Matematica Pura ed Applicata. Serie Quarta 5 Functional Analysis and its Applications 5 Journal of the Mathematical Society of Japan 5 Mémoires de la Société Mathématique de France. Nouvelle Série 5 Vestnik St. Petersburg University. Mathematics 5 Annales Mathématiques Blaise Pascal 5 Research in the Mathematical Sciences 4 Letters in Mathematical Physics 4 Linear and Multilinear Algebra 4 Periodica Mathematica Hungarica 4 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie IV 4 Collectanea Mathematica 4 Kodai Mathematical Journal 4 Monatshefte für Mathematik 4 Proceedings of the Edinburgh Mathematical Society. Series II 4 Publications of the Research Institute for Mathematical Sciences, Kyoto University ...and 155 more Serials all top 5 Cited in 53 Fields 1,739 Number theory (11-XX) 1,414 Algebraic geometry (14-XX) 414 Associative rings and algebras (16-XX) 218 Group theory and generalizations (20-XX) 215 Commutative algebra (13-XX) 151 Field theory and polynomials (12-XX) 148 \(K\)-theory (19-XX) 118 Category theory; homological algebra (18-XX) 113 Nonassociative rings and algebras (17-XX) 97 Topological groups, Lie groups (22-XX) 86 Quantum theory (81-XX) 80 Algebraic topology (55-XX) 62 Several complex variables and analytic spaces (32-XX) 37 Linear and multilinear algebra; matrix theory (15-XX) 37 Information and communication theory, circuits (94-XX) 34 Dynamical systems and ergodic theory (37-XX) 33 Functional analysis (46-XX) 29 Differential geometry (53-XX) 29 Manifolds and cell complexes (57-XX) 25 Relativity and gravitational theory (83-XX) 20 Combinatorics (05-XX) 18 Global analysis, analysis on manifolds (58-XX) 17 Geometry (51-XX) 15 Computer science (68-XX) 14 History and biography (01-XX) 11 Abstract harmonic analysis (43-XX) 9 Convex and discrete geometry (52-XX) 8 Special functions (33-XX) 7 General and overarching topics; collections (00-XX) 7 Mathematical logic and foundations (03-XX) 7 Functions of a complex variable (30-XX) 6 Operator theory (47-XX) 5 General algebraic systems (08-XX) 4 Difference and functional equations (39-XX) 3 Order, lattices, ordered algebraic structures (06-XX) 3 Partial differential equations (35-XX) 2 General topology (54-XX) 2 Numerical analysis (65-XX) 2 Mechanics of particles and systems (70-XX) 2 Fluid mechanics (76-XX) 2 Statistical mechanics, structure of matter (82-XX) 2 Biology and other natural sciences (92-XX) 2 Mathematics education (97-XX) 1 Real functions (26-XX) 1 Measure and integration (28-XX) 1 Ordinary differential equations (34-XX) 1 Harmonic analysis on Euclidean spaces (42-XX) 1 Calculus of variations and optimal control; optimization (49-XX) 1 Probability theory and stochastic processes (60-XX) 1 Mechanics of deformable solids (74-XX) 1 Optics, electromagnetic theory (78-XX) 1 Astronomy and astrophysics (85-XX) 1 Systems theory; control (93-XX) Citations by Year Wikidata Timeline The data are displayed as stored in Wikidata under a Creative Commons CC0 License. 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